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NORMAL AUTOMORPHISMS OF A FREE METABELIAN NILPOTENT GROUP

Published online by Cambridge University Press:  04 December 2009

GÉRARD ENDIMIONI
GÉRARD ENDIMIONI*
Affiliation:
C.M.I-Université De Provence, 39, rue F. Joliot-Curie, F-13453 Marseille Cedex 13, France e-mail: endimion@gyptis.univ-mrs.fr, Gerard.Endimioni@cmi.univ-mrs.fr
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Abstract

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An automorphism φ of a group G is said to be normal if φ(H) = H for each normal subgroup H of G. These automorphisms form a group containing the group of inner automorphisms. When G is a non-abelian free (or free soluble) group, it is known that these groups of automorphisms coincide, but this is not always true when G is a free metabelian nilpotent group. The aim of this paper is to determine the group of normal automorphisms in this last case.

Keywords

20E3620F28
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 169 - 177
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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